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Finding the Fourth Proportional to 35,125.50, 52,688.28 and 14,349

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Solution

The fourth proportional to 35,125.50, 52,688.28 and 14,349 is: 21,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,125.50 : 52,688.28 = 14,349 : x
  2. Step 2: Convert to fraction form
    35,125.50/52,688.28 = 14,349/x
  3. Step 3: Cross multiply
    35,125.50x = 52,688.28 × 14,349
  4. Step 4: Simplify right side
    35,125.50x = 756,024,129.72
  5. Step 5: Solve for x
    x = 756,024,129.72/35,125.50
  6. Step 6: Final answer
    x = 21,523.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.